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Finding the Fourth Proportional to 419,751.21, 579,272.30 and 238,493.87

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Solution

The fourth proportional to 419,751.21, 579,272.30 and 238,493.87 is: 329,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,751.21 : 579,272.30 = 238,493.87 : x
  2. Step 2: Convert to fraction form
    419,751.21/579,272.30 = 238,493.87/x
  3. Step 3: Cross multiply
    419,751.21x = 579,272.30 × 238,493.87
  4. Step 4: Simplify right side
    419,751.21x = 138,152,888,521.97
  5. Step 5: Solve for x
    x = 138,152,888,521.97/419,751.21
  6. Step 6: Final answer
    x = 329,130.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.